X2742

SR(X104, X105)

X2742 = reflection of X840 in X3
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 840, 3 }: Central Line L(840, 3) { 104, 518 }: Central Line L(104, 518) { 105, 517 }: Central Line L(105, 517) { 59, 934 }: Central Line L(59, 934) { 109, 1110 }: Central Line L(109, 1110) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_840 = ISOGONAL CONJUGATE OF X(528) (0.0800, 0.3919) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_934 = -CROSS CONJUGATE OF X(57) (0.4269, 0.6071) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1110 = TRILINEAR SQUARE OF X(101) (0.5057, 0.3942) X_2742 = SR(X(104), X(105)) (0.9200, -0.1878) A B C X840 X3 X104 X518 X105 X517 X59 X934 X109 X1110 X2742 (a, b, c) = (5, 6, 7) | AB = 1

X2742 (SR(X104, X105)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X2677 using P = X103, U = X112
Search Value (6, 9, 13): \(5.567053710918\)

X2742 lies on the circumcircle.

▸ Incident Central Lines13 lines

{3, 840}, {36, 1477}, {40, 2717}, {59, 934}, {101, 1618}, {103, 2077}, {104, 518}, {105, 517}, {109, 1110}, {513, 1292}, {919, 2427}, {1083, 2726}, {2283, 2720}

▸ Functional Relations5 relations